What is the Greatest Common Factor of 87600 and 87614?

Greatest common factor (GCF) of 87600 and 87614 is 2.

GCF(87600,87614) = 2

We will now calculate the prime factors of 87600 and 87614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87600 and 87614.

How to find the GCF of 87600 and 87614?

We will first find the prime factorization of 87600 and 87614. After we will calculate the factors of 87600 and 87614 and find the biggest common factor number .

Step-1: Prime Factorization of 87600

Prime factors of 87600 are 2, 3, 5, 73. Prime factorization of 87600 in exponential form is:

87600 = 2⁴ × 3¹ × 5² × 73¹

Step-2: Prime Factorization of 87614

Prime factors of 87614 are 2, 71, 617. Prime factorization of 87614 in exponential form is:

87614 = 2¹ × 71¹ × 617¹

Step-3: Factors of 87600

List of positive integer factors of 87600 that divides 87600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 73, 75, 80, 100, 120, 146, 150, 200, 219, 240, 292, 300, 365, 400, 438, 584, 600, 730, 876, 1095, 1168, 1200, 1460, 1752, 1825, 2190, 2920, 3504, 3650, 4380, 5475, 5840, 7300, 8760, 10950, 14600, 17520, 21900, 29200, 43800

Step-4: Factors of 87614

List of positive integer factors of 87614 that divides 87600 without a remainder.

1, 2, 71, 142, 617, 1234, 43807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87600 and 87614. The biggest common factor number is the GCF number.
So the greatest common factor 87600 and 87614 is 2.

Also check out the Least Common Multiple of 87600 and 87614